then it is called a gradient Einstein soliton [1]}. \(\psi \)  is called the Einstein potential function. The gradient Einstein soliton is called trivial [1]}, if \(\psi \)  is constant. This soliton is named shrinking, steady or expanding according as \(\beta _2 < 0\) , \(\beta _2 = 0\)  or \(\beta _2 > 0\) , respectively. Few interesting results of this solitons have been established in ([3]}, [4]}).
